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Motion In Straight Line

Question

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How many times, the time occurs in unit of velocity and acceleration?

Solution

Velocity is given by

\frac{ds}{dt}

and,

Acceleration is given by

\frac{{ds}^{2}}{{dt}^{2}}

So, time occurs once in velocity and twice in acceleration.

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

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